J. P. Bérenger, A perfectly matched layer for the absorption of electromagnetic waves, Journal of Computational Physics, vol.114, issue.2, pp.185-200, 1994.
DOI : 10.1006/jcph.1994.1159

Z. Sacks, D. Kingsland, R. Lee, and J. Lee, A perfectly matched anisotropic absorber for use as an absorbing boundary condition, IEEE Transactions on Antennas and Propagation, vol.43, issue.12, pp.1460-1463, 1995.
DOI : 10.1109/8.477075

W. C. Chew and W. H. Weedon, A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates, Microwave and Optical Technology Letters, vol.6, issue.2934, pp.599-604, 1994.
DOI : 10.1002/mop.4650071304

J. M. Elson and P. Tran, R-matrix propagator with perfectly matched layers for the study of integrated optical components, Journal of the Optical Society of America A, vol.16, issue.12, pp.2983-2989, 1999.
DOI : 10.1364/JOSAA.16.002983

P. Bienstman and R. Baets, Advanced boundary conditions for eigenmode expansion models, Optical and Quantum Electronics, vol.7, issue.5-6, pp.523-540, 2002.
DOI : 10.1007/BF02892615

E. Silberstein, . Ph, J. P. Lalanne, Q. Hugonin, and . Cao, Use of grating theories in integrated optics, Journal of the Optical Society of America A, vol.18, issue.11, pp.2865-2875, 2001.
DOI : 10.1364/JOSAA.18.002865

URL : https://hal.archives-ouvertes.fr/hal-00867923

Q. Cao, . Ph, J. P. Lalanne, and . Hugonin, Stable and efficient Bloch-mode computational method for one-dimensional grating waveguides, Journal of the Optical Society of America A, vol.19, issue.2, pp.335-338, 2002.
DOI : 10.1364/JOSAA.19.000335

URL : https://hal.archives-ouvertes.fr/hal-00867916

J. C. Chen and K. Li, Quartic perfectly matched layers for dielectric waveguides and gratings, Microwave and Optical Technology Letters, vol.31, issue.6, pp.319-323, 1995.
DOI : 10.1002/mop.4650100605

E. A. Marengo, C. M. Rappaport, and E. L. Miller, Optimum PML ABC conductivity profile in FDFD, IEEE Transactions on Magnetics, vol.35, issue.3, pp.1506-1509, 1999.
DOI : 10.1109/20.767253

E. Bahar, Electromagnetic wave propagation in inhomogeneous multilayered structures of arbitrarily varying thickness???Generalized field transforms, Journal of Mathematical Physics, vol.14, issue.8, pp.1024-1029, 1972.
DOI : 10.1063/1.1666433

D. Maystre, General study of grating anomalies from electromagnetic surface modes, Electromagnetic Surface modes, p.17, 1982.

K. Knop, Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves, Journal of the Optical Society of America, vol.68, issue.9, pp.1206-1210, 1978.
DOI : 10.1364/JOSA.68.001206

T. K. Gaylord and M. G. Moharam, Analysis and applications of optical diffraction by gratings, Proc. IEEE, pp.894-936, 1985.
DOI : 10.1109/PROC.1985.13220

F. Montiel and M. Nevière, Differential theory of gratings: extension to deep gratings of arbitrary profile and permittivity through the R-matrix propagation algorithm, Journal of the Optical Society of America A, vol.11, issue.12, pp.3241-3250, 1994.
DOI : 10.1364/JOSAA.11.003241

. Ph, E. Lalanne, and . Silberstein, Fourier-modal method applied to waveguide computational problems, Opt. Lett, vol.25, pp.1092-1094, 2000.

J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto et al., Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer's star product, Optics Communications, vol.198, issue.4-6, pp.265-272, 2001.
DOI : 10.1016/S0030-4018(01)01530-9

S. J. Hewlett and F. Ladouceur, Fourier decomposition method applied to mapped infinite domains: scalar analysis of dielectric waveguides down to modal cutoff, Journal of Lightwave Technology, vol.13, issue.3, pp.375-383, 1995.
DOI : 10.1109/50.372431

P. Lalanne, J. P. Hugonin, and J. M. Gérard, Electromagnetic study of the quality factor of pillar microcavities in the small diameter limit, Applied Physics Letters, vol.84, issue.23, pp.4726-4728, 2004.
DOI : 10.1063/1.1759375

URL : https://hal.archives-ouvertes.fr/hal-00872200

C. Sauvan, G. Lecamp, P. Lalanne, and J. P. Hugonin, Modal-reflectivity enhancement by geometry tuning in Photonic Crystal microcavities, Optics Express, vol.13, issue.1, pp.245-255, 2005.
DOI : 10.1364/OPEX.13.000245

URL : https://hal.archives-ouvertes.fr/hal-00869825

C. Sauvan, P. Lalanne, J. C. Rodier, J. P. Hugonin, and A. Talneau, Accurate modeling of line-defect photonic crystal waveguides, IEEE Photonics Technology Letters, vol.15, issue.9, pp.1243-1245, 2003.
DOI : 10.1109/LPT.2003.816123

J. P. Hugonin, P. Lalanne, I. D. Villar, and I. R. Matias, Fourier modal methods for modeling optical dielectric waveguides, Optical and Quantum Electronics, vol.65, issue.1-3, pp.107-119, 2005.
DOI : 10.1007/s11082-005-1127-2